08b10cd287
* cppcoreguidelines-init-variables * cppcoreguidelines-c-copy-assignment-signature * cppcoreguidelines-macro-usage * cppcoreguidelines-non-private-member-variables-in-classes * cppcoreguidelines-pro-type-member-init * cppcoreguidelines-slicing * cppcoreguidelines-special-member-functions * cppcoreguidelines-virtual-class-destructor
471 lines
14 KiB
C++
471 lines
14 KiB
C++
/***************************************************************************
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* Copyright (c) 2005 Imetric 3D GmbH *
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* *
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* This file is part of the FreeCAD CAx development system. *
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* *
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* This library is free software; you can redistribute it and/or *
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* modify it under the terms of the GNU Library General Public *
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* License as published by the Free Software Foundation; either *
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* version 2 of the License, or (at your option) any later version. *
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* *
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* This library is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU Library General Public License for more details. *
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* *
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* You should have received a copy of the GNU Library General Public *
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* License along with this library; see the file COPYING.LIB. If not, *
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* write to the Free Software Foundation, Inc., 59 Temple Place, *
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* Suite 330, Boston, MA 02111-1307, USA *
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* *
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***************************************************************************/
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#include "PreCompiled.h"
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#ifndef _PreComp_
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#include <array>
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#include <cstdlib>
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#include <set>
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#endif
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#include "Tools2D.h"
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#include "Vector3D.h"
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using namespace Base;
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double Vector2d::GetAngle(const Vector2d& vec) const
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{
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double fDivid = 0.0;
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double fNum = 0.0;
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fDivid = Length() * vec.Length();
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if ((fDivid < -1e-10) || (fDivid > 1e-10)) {
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fNum = (*this * vec) / fDivid;
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if (fNum < -1) {
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return D_PI;
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}
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if (fNum > 1) {
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return 0.0;
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}
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return acos(fNum);
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}
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return -FLOAT_MAX; // division by zero
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}
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void Vector2d::ProjectToLine(const Vector2d& point, const Vector2d& line)
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{
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double l = line.Length();
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double t1 = (point * line) / l;
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Vector2d clNormal = line;
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clNormal.Normalize();
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clNormal.Scale(t1);
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*this = clNormal;
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}
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/********************************************************/
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/** BOUNDBOX2d ********************************************/
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bool BoundBox2d::Intersect(const Line2d& rclLine) const
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{
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Line2d clThisLine;
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Vector2d clVct;
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// first line
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clThisLine.clV1.x = MinX;
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clThisLine.clV1.y = MinY;
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clThisLine.clV2.x = MaxX;
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clThisLine.clV2.y = MinY;
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if (clThisLine.IntersectAndContain(rclLine, clVct)) {
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return true;
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}
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// second line
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clThisLine.clV1 = clThisLine.clV2;
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clThisLine.clV2.x = MaxX;
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clThisLine.clV2.y = MaxY;
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if (clThisLine.IntersectAndContain(rclLine, clVct)) {
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return true;
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}
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// third line
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clThisLine.clV1 = clThisLine.clV2;
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clThisLine.clV2.x = MinX;
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clThisLine.clV2.y = MaxY;
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if (clThisLine.IntersectAndContain(rclLine, clVct)) {
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return true;
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}
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// fourth line
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clThisLine.clV1 = clThisLine.clV2;
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clThisLine.clV2.x = MinX;
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clThisLine.clV2.y = MinY;
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return (clThisLine.IntersectAndContain(rclLine, clVct));
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}
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bool BoundBox2d::Intersect(const BoundBox2d& rclBB) const
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{
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return (MinX < rclBB.MaxX && rclBB.MinX < MaxX && MinY < rclBB.MaxY && rclBB.MinY < MaxY);
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}
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bool BoundBox2d::Intersect(const Polygon2d& rclPoly) const
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{
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Line2d clLine;
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// points contained in boundbox
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for (unsigned long i = 0; i < rclPoly.GetCtVectors(); i++) {
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if (Contains(rclPoly[i])) {
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return true; /***** RETURN INTERSECTION *********/
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}
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}
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// points contained in polygon
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if (rclPoly.Contains(Vector2d(MinX, MinY)) || rclPoly.Contains(Vector2d(MaxX, MinY))
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|| rclPoly.Contains(Vector2d(MaxX, MaxY)) || rclPoly.Contains(Vector2d(MinX, MaxY))) {
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return true; /***** RETURN INTERSECTION *********/
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}
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// test intersections of bound-lines
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if (rclPoly.GetCtVectors() < 3) {
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return false;
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}
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for (unsigned long i = 0; i < rclPoly.GetCtVectors(); i++) {
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if (i == rclPoly.GetCtVectors() - 1) {
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clLine.clV1 = rclPoly[i];
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clLine.clV2 = rclPoly[0];
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}
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else {
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clLine.clV1 = rclPoly[i];
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clLine.clV2 = rclPoly[i + 1];
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}
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if (Intersect(clLine)) {
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return true; /***** RETURN INTERSECTION *********/
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}
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}
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// no intersection
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return false;
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}
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/********************************************************/
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/** LINE2D **********************************************/
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BoundBox2d Line2d::CalcBoundBox() const
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{
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BoundBox2d clBB;
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clBB.MinX = std::min<double>(clV1.x, clV2.x);
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clBB.MinY = std::min<double>(clV1.y, clV2.y);
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clBB.MaxX = std::max<double>(clV1.x, clV2.x);
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clBB.MaxY = std::max<double>(clV1.y, clV2.y);
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return clBB;
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}
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bool Line2d::Intersect(const Line2d& rclLine, Vector2d& rclV) const
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{
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double m1 = 0.0;
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double m2 = 0.0;
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double b1 = 0.0;
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double b2 = 0.0;
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// calc coefficients
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if (fabs(clV2.x - clV1.x) > 1e-10) {
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m1 = (clV2.y - clV1.y) / (clV2.x - clV1.x);
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}
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else {
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m1 = DOUBLE_MAX;
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}
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if (fabs(rclLine.clV2.x - rclLine.clV1.x) > 1e-10) {
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m2 = (rclLine.clV2.y - rclLine.clV1.y) / (rclLine.clV2.x - rclLine.clV1.x);
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}
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else {
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m2 = DOUBLE_MAX;
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}
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if (m1 == m2) { /****** RETURN ERR (parallel lines) *************/
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return false;
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}
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b1 = clV1.y - m1 * clV1.x;
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b2 = rclLine.clV1.y - m2 * rclLine.clV1.x;
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// calc intersection
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if (m1 == DOUBLE_MAX) {
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rclV.x = clV1.x;
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rclV.y = m2 * rclV.x + b2;
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}
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else if (m2 == DOUBLE_MAX) {
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rclV.x = rclLine.clV1.x;
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rclV.y = m1 * rclV.x + b1;
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}
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else {
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rclV.x = (b2 - b1) / (m1 - m2);
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rclV.y = m1 * rclV.x + b1;
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}
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return true; /*** RETURN true (intersection) **********/
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}
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bool Line2d::Intersect(const Vector2d& rclV, double eps) const
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{
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double dxc = rclV.x - clV1.x;
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double dyc = rclV.y - clV1.y;
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double dxl = clV2.x - clV1.x;
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double dyl = clV2.y - clV1.y;
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double cross = dxc * dyl - dyc * dxl;
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// is point on the infinite line?
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if (fabs(cross) > eps) {
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return false;
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}
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// point is on line but it is also between V1 and V2?
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double dot = dxc * dxl + dyc * dyl;
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double len = dxl * dxl + dyl * dyl;
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return (dot >= -eps && dot <= len + eps);
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}
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Vector2d Line2d::FromPos(double fDistance) const
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{
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Vector2d clDir(clV2 - clV1);
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clDir.Normalize();
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return {clV1.x + (clDir.x * fDistance), clV1.y + (clDir.y * fDistance)};
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}
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bool Line2d::IntersectAndContain(const Line2d& rclLine, Vector2d& rclV) const
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{
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bool rc = Intersect(rclLine, rclV);
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if (rc) {
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rc = Contains(rclV) && rclLine.Contains(rclV);
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}
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return rc;
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}
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/********************************************************/
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/** POLYGON2d ********************************************/
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BoundBox2d Polygon2d::CalcBoundBox() const
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{
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unsigned long i = 0;
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BoundBox2d clBB;
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for (i = 0; i < _aclVct.size(); i++) {
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clBB.MinX = std::min<double>(clBB.MinX, _aclVct[i].x);
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clBB.MinY = std::min<double>(clBB.MinY, _aclVct[i].y);
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clBB.MaxX = std::max<double>(clBB.MaxX, _aclVct[i].x);
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clBB.MaxY = std::max<double>(clBB.MaxY, _aclVct[i].y);
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}
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return clBB;
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}
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static short CalcTorsion(const std::array<double, 4>& pfLine, double fX, double fY)
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{
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std::array<int, 2> sQuad {};
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double fResX = 0.0;
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// Classification of both polygon points into quadrants
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for (std::size_t i = 0; i < 2; i++) {
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if (pfLine.at(i * 2) <= fX) {
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sQuad[i] = (pfLine.at(i * 2 + 1) > fY) ? 0 : 3;
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}
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else {
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sQuad[i] = (pfLine.at(i * 2 + 1) > fY) ? 1 : 2;
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}
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}
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// Abort at line points within a quadrant
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// Abort at non-intersecting line points
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if (abs(sQuad[0] - sQuad[1]) <= 1) {
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return 0;
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}
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// Both points to the left of ulX
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if (abs(sQuad[0] - sQuad[1]) == 3) {
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return (sQuad[0] == 0) ? 1 : -1;
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}
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// Remaining cases: Quadrant difference from 2
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// mathematical tests on intersection
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fResX = pfLine[0] + (fY - pfLine[1]) / ((pfLine[3] - pfLine[1]) / (pfLine[2] - pfLine[0]));
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if (fResX < fX) {
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// up/down or down/up
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return (sQuad[0] <= 1) ? 1 : -1;
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}
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// Remaining cases?
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return 0;
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}
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bool Polygon2d::Contains(const Vector2d& rclV) const
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{
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// Using the number of turns method, determines
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// whether a point is contained within a polygon.
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// The sum of all turns indicates whether yes or no.
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std::array<double, 4> pfTmp {};
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unsigned long i = 0;
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short sTorsion = 0;
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// Error check
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if (GetCtVectors() < 3) {
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return false;
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}
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// for all polygon lines
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for (i = 0; i < GetCtVectors(); i++) {
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// Evidence of line structure
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if (i == GetCtVectors() - 1) {
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// Close polygon automatically
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pfTmp[0] = _aclVct[i].x;
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pfTmp[1] = _aclVct[i].y;
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pfTmp[2] = _aclVct[0].x;
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pfTmp[3] = _aclVct[0].y;
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}
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else {
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// accept point i and i+1
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pfTmp[0] = _aclVct[i].x;
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pfTmp[1] = _aclVct[i].y;
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pfTmp[2] = _aclVct[i + 1].x;
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pfTmp[3] = _aclVct[i + 1].y;
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}
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// Carry out a cut test and calculate the turn counter
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sTorsion += CalcTorsion(pfTmp, rclV.x, rclV.y);
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}
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// Evaluate turn counter
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return sTorsion != 0;
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}
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void Polygon2d::Intersect(const Polygon2d& rclPolygon,
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std::list<Polygon2d>& rclResultPolygonList) const
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{
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// trim the passed polygon with the current one, the result is a list of polygons (subset of the
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// passed polygon) your own (trim) polygon is closed
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//
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if ((rclPolygon.GetCtVectors() < 2) || (GetCtVectors() < 2)) {
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return;
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}
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// position of first points (in or out of polygon)
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bool bInner = Contains(rclPolygon[0]);
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Polygon2d clResultPolygon;
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if (bInner) { // add first point if inner trim-polygon
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clResultPolygon.Add(rclPolygon[0]);
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}
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// for each polygon segment
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size_t ulPolyCt = rclPolygon.GetCtVectors();
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size_t ulTrimCt = GetCtVectors();
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for (size_t ulVec = 0; ulVec < (ulPolyCt - 1); ulVec++) {
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Vector2d clPt0 = rclPolygon[ulVec];
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Vector2d clPt1 = rclPolygon[ulVec + 1];
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Line2d clLine(clPt0, clPt1);
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// try to intersect with each line of the trim-polygon
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std::set<double> afIntersections; // set of intersections (sorted by line parameter)
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Vector2d clTrimPt2; // second line point
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for (size_t i = 0; i < ulTrimCt; i++) {
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clTrimPt2 = At((i + 1) % ulTrimCt);
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Line2d clToTrimLine(At(i), clTrimPt2);
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Vector2d clV;
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if (clLine.IntersectAndContain(clToTrimLine, clV)) {
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// save line parameter of intersection point
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double fDist = (clV - clPt0).Length();
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afIntersections.insert(fDist);
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}
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}
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if (!afIntersections.empty()) // intersections founded
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{
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for (double it : afIntersections) {
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// intersection point
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Vector2d clPtIS = clLine.FromPos(it);
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if (bInner) {
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clResultPolygon.Add(clPtIS);
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rclResultPolygonList.push_back(clResultPolygon);
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clResultPolygon.DeleteAll();
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bInner = false;
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}
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else {
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clResultPolygon.Add(clPtIS);
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bInner = true;
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}
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}
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if (bInner) { // add line end point if inside
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clResultPolygon.Add(clPt1);
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}
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}
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else { // no intersections, add line (means second point of it) if inside trim-polygon
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if (bInner) {
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clResultPolygon.Add(clPt1);
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}
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}
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}
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// add last segment
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if (clResultPolygon.GetCtVectors() > 0) {
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rclResultPolygonList.push_back(clResultPolygon);
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}
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}
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bool Polygon2d::Intersect(const Polygon2d& other) const
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{
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if (other.GetCtVectors() < 2 || GetCtVectors() < 2) {
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return false;
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}
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for (auto& v : _aclVct) {
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if (other.Contains(v)) {
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return true;
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}
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}
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if (Contains(other[0])) {
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return true;
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}
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for (size_t j = 1; j < other.GetCtVectors(); ++j) {
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auto& v0 = other[j - 1];
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auto& v1 = other[j];
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if (Contains(v1)) {
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return true;
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}
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Line2d line(v0, v1);
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for (size_t i = 0; i < GetCtVectors(); ++i) {
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Line2d line2(At(i), At((i + 1) % GetCtVectors()));
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Vector2d v;
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if (line.IntersectAndContain(line2, v)) {
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return true;
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}
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}
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}
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return false;
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}
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bool Polygon2d::Intersect(const Vector2d& rclV, double eps) const
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{
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if (_aclVct.size() < 2) {
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return false;
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}
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size_t numPts = GetCtVectors();
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for (size_t i = 0; i < numPts; i++) {
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Vector2d clPt0 = (*this)[i];
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Vector2d clPt1 = (*this)[(i + 1) % numPts];
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Line2d clLine(clPt0, clPt1);
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if (clLine.Intersect(rclV, eps)) {
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return true;
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}
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}
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return false;
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}
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